Geodesic
B-Stable Ideals in the Nilradical of a Borel Subalgebra
Canadian mathematical bulletin, Tome 48 (2005) no. 3, pp. 460-472

Voir la notice de l'article provenant de la source Cambridge

DOI

We count the number of strictly positive $B$ -stable ideals in the nilradical of a Borel subalgebra and prove that the minimal roots of any $B$ -stable ideal are conjugate by an element of the Weyl group to a subset of the simple roots. We also count the number of ideals whose minimal roots are conjugate to a fixed subset of simple roots.
DOI : 10.4153/CMB-2005-043-4
Mots-clés : 20F55, 17B20, 05E99 
Sommers, Eric N. B-Stable Ideals in the Nilradical of a Borel Subalgebra. Canadian mathematical bulletin, Tome 48 (2005) no. 3, pp. 460-472. doi: 10.4153/CMB-2005-043-4
@article{10_4153_CMB_2005_043_4,
     author = {Sommers, Eric N.},
     title = {B-Stable {Ideals} in the {Nilradical} of a {Borel} {Subalgebra}},
     journal = {Canadian mathematical bulletin},
     pages = {460--472},
     year = {2005},
     volume = {48},
     number = {3},
     doi = {10.4153/CMB-2005-043-4},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-043-4/}
}
TY  - JOUR
AU  - Sommers, Eric N.
TI  - B-Stable Ideals in the Nilradical of a Borel Subalgebra
JO  - Canadian mathematical bulletin
PY  - 2005
SP  - 460
EP  - 472
VL  - 48
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-043-4/
DO  - 10.4153/CMB-2005-043-4
ID  - 10_4153_CMB_2005_043_4
ER  - 
%0 Journal Article
%A Sommers, Eric N.
%T B-Stable Ideals in the Nilradical of a Borel Subalgebra
%J Canadian mathematical bulletin
%D 2005
%P 460-472
%V 48
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2005-043-4/
%R 10.4153/CMB-2005-043-4
%F 10_4153_CMB_2005_043_4

Cité par Sources :